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Simplifying -5(2x + -6) = 7(2x + -4) Reorder the terms: -5(-6 + 2x) = 7(2x + -4) (-6 * -5 + 2x * -5) = 7(2x + -4) (30 + -10x) = 7(2x + -4) Reorder the terms: 30 + -10x = 7(-4 + 2x) 30 + -10x = (-4 * 7 + 2x * 7) 30 + -10x = (-28 + 14x) Solving 30 + -10x = -28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 30 + -10x + -14x = -28 + 14x + -14x Combine like terms: -10x + -14x = -24x 30 + -24x = -28 + 14x + -14x Combine like terms: 14x + -14x = 0 30 + -24x = -28 + 0 30 + -24x = -28 Add '-30' to each side of the equation. 30 + -30 + -24x = -28 + -30 Combine like terms: 30 + -30 = 0 0 + -24x = -28 + -30 -24x = -28 + -30 Combine like terms: -28 + -30 = -58 -24x = -58 Divide each side by '-24'. x = 2.416666667 Simplifying x = 2.416666667
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